Mixed Operations with Whole Numbers Printable Lesson Plan

Lesson Title:Mixed Operations with Whole Numbers

Grade Level: 6th Grade

Duration: 45 minutes

Lesson Objective:

  • Students will be able to perform mixed operations, including addition, subtraction, multiplication and division, with whole numbers.
  • Students will understand the order of operations and be able to use it to correctly solve multi-step math problems.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Order of operations worksheet
  • Mixed operations worksheet

    • Introduction (5 minutes):

  • Begin by reviewing the four basic arithmetic operations (addition, subtraction, multiplication and division) and the order of operations (PEMDAS). Write the acronym PEMDAS on the board and explain that it stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
  • Explain that in this lesson, they will learn how to use mixed operations, including all four basic operations, to solve multi-step math problems.

    • Direct Instruction (10 minutes):

  • Review the order of operations and provide examples of multi-step math problems that require the use of PEMDAS.
  • Use the whiteboard to demonstrate how to solve mixed operation problems step by step, emphasizing the importance of following the order of operations.

    • Guided Practice (15 minutes):

  • Distribute the order of operations worksheet and have students work in pairs to complete the problems.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Distribute the mixed operations worksheet and have students complete the problems on their own.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the importance of following the order of operations and the rules for mixed operations.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.

    • Lesson Plan on Understanding and working with Rational Numbers

    Lesson Title:Understanding and working with Rational Numbers

    Grade Level: 6th Grade

    Duration: 45 minutes

    Lesson Objective:

  • Students will understand the concept of rational numbers and be able to identify and classify them.
  • Students will be able to perform basic arithmetic operations (addition, subtraction, multiplication, and division) with rational numbers.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Rational number worksheet
  • Basic arithmetic worksheet
  • Number line or a set of number cards (positive and negative fractions, decimals, and mixed numbers)

    • Introduction (5 minutes):

  • Begin by reviewing the concept of integers and their placement on a number line. Write a number line on the board and ask students to identify the positive and negative numbers.
  • Explain that in this lesson, students will learn about a new type of number called rational numbers. Rational numbers are numbers that can be expressed as a fraction of two integers.

    • Direct Instruction (10 minutes):

  • Introduce the concept of rational numbers and explain that they include fractions, decimals, and mixed numbers. Provide examples of each.
  • Use the whiteboard to demonstrate how to convert between fractions, decimals, and mixed numbers.
  • Explain that rational numbers can be represented on a number line and demonstrate how to place them on the number line.

    • Guided Practice (15 minutes):

  • Distribute the rational number worksheet and have students work in pairs to complete the problems.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Distribute the basic arithmetic worksheet and have students complete the problems on their own.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the concept of rational numbers and the different ways they can be represented.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.
  • It’s important to emphasize the importance of understanding when to use the different types of rational numbers (fractions, decimals, mixed numbers) and their representation.
    • use of technology in classroom

    Lesson Plan for Teachers on Problem Solving and Estimation Techniques

    Lesson Title:Problem Solving and Estimation Techniques

    Grade Level: 6th Grade

    Duration: 45 minutes

    Lesson Objective:

  • Students will understand the importance of problem-solving skills in real-world situations.
  • Students will learn and apply estimation techniques to solve problems.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Problem-solving worksheet
  • Estimation worksheet
  • Calculator (optional)

    • Introduction (5 minutes):

  • Begin by introducing the importance of problem-solving skills in real-world situations. Provide examples of how problem-solving skills are used in everyday life.
  • Explain that in this lesson, students will learn how to use estimation techniques to solve problems.

    • Direct Instruction (10 minutes):

  • Introduce the concept of estimation and explain that it is a method of finding a reasonable answer quickly. Provide examples of how estimation can be used in everyday life.
  • Use the whiteboard to demonstrate how to use estimation techniques, such as rounding, front-end estimation, and clustering.

    • Guided Practice (15 minutes):

  • Distribute the problem-solving worksheet and have students work in pairs to complete the problems.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Distribute the estimation worksheet and have students complete the problems on their own.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the importance of problem-solving skills and estimation techniques in real-world situations.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.
  • Encourage students to use estimation techniques even when they are allowed to use calculators, as it helps them to develop a sense of approximate numbers.

    • Printable Lesson Plan on Understanding Ratios and Rates

    Lesson Title:Understanding Ratios and Rates

    Grade Level: 6th Grade

    Duration: 45 minutes

    Lesson Objective:

  • Students will understand the concept of ratios and be able to express them in different forms (fraction, decimal, and percentage).
  • Students will understand the concept of rates and be able to compare them.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Ratio and rate worksheet
  • Set of real-world examples (e.g. recipe, sports statistics, distances and speeds)

    • Introduction (5 minutes):

  • Begin by introducing the concept of ratios and rates. Provide examples of how ratios and rates are used in everyday life (e.g. recipe, sports statistics, distances and speeds).
  • Explain that in this lesson, students will learn how to express ratios in different forms and how to compare rates.

    • Direct Instruction (10 minutes):

  • Introduce the concept of ratios and explain that it is a comparison of two or more quantities. Provide examples of ratios and how to express them in different forms (fraction, decimal, and percentage).
  • Introduce the concept of rates and explain that it is a comparison of a change in one quantity to a change in another quantity. Provide examples of rates and how to compare them.

    • Guided Practice (15 minutes):

  • Distribute the ratio and rate worksheet and have students work in pairs to complete the problems.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Provide students with a set of real-world examples (e.g. recipe, sports statistics, distances and speeds) and have them work independently to identify the ratios and rates in each example.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the concept of ratios and rates and the different ways they can be expressed and compared.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.
  • Encourage students to use ratios and rates in real-world examples as it help them to relate the mathematical concepts with the real world.
    • Safety and welfare in schools

    Understanding and working with Percents lesson plan

    Lesson Title:Understanding and working with Percents

    Grade Level: 6th Grade

    Duration: 45 minutes

    Lesson Objective:

  • Students will understand the concept of percents and how they are related to fractions and decimals.
  • Students will be able to convert between fractions, decimals, and percents.
  • Students will be able to use percents to solve real-world problems.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Percent worksheet
  • Real-world examples of percents (e.g. discounts, taxes, interest)

    • Introduction (5 minutes):

  • Begin by reviewing the concept of fractions and decimals. Write examples of fractions and decimals on the board and ask students to identify them.
  • Explain that in this lesson, students will learn about a new type of number called percents. Percents are a way of expressing a number as a fraction of 100.

    • Direct Instruction (10 minutes):

  • Introduce the concept of percents and explain that they are a way of expressing a number as a fraction of 100. Provide examples of percents and how to convert them to fractions and decimals.
  • Use the whiteboard to demonstrate how to convert between fractions, decimals, and percents.
  • Explain that percents are used to represent real-world situations, such as discounts, taxes, and interest.

    • Guided Practice (15 minutes):

  • Distribute the percent worksheet and have students work in pairs to complete the problems.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Provide students with real-world examples of percents (e.g. discounts, taxes, interest) and have them work independently to convert the percents to fractions and decimals and vice versa.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the concept of percents and the different ways they can be expressed and used in real-world situations.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.
  • Encourage students to use percents in real-world examples as it helps them to relate the mathematical concepts with the real world.

    • Understanding Division Printable Lesson Plan

    Lesson Title:Understanding Division

    Lesson Objective: Students will be able to understand and use division in mathematical operations.

    Materials: Whiteboard, dry erase markers, worksheets with division problems, a set of manipulatives (e.g. base ten blocks, Cuisenaire rods)

    Introduction (5 minutes): Start the lesson by asking students if they know what division is. Write the symbol “÷” on the whiteboard and ask students to provide examples of what division might be (e.g. 20 ÷ 4, 12 ÷ 3, etc.).

    Direct Instruction (20 minutes): Explain to students that division is a mathematical operation used to find the number of times one number is contained in another. Write the equation “20 ÷ 4” on the board and ask students what the answer is. (Answer: 5) Use base ten blocks or other manipulatives to model the problem and help students visualize the concept of division.

    Next, explain the concept of remainders in division. Write the equation “10 ÷ 3” on the board and ask students what the answer is. (Answer: 3 with a remainder of 1)

    Guided Practice (25 minutes): Provide students with worksheets containing division problems, including some with remainders. Have students work in pairs to solve the problems, and circulate around the room to provide assistance as needed.

    Independent Practice (15 minutes): Give students additional problems to work on independently. Encourage them to use the skills they have learned to solve the problems and use the manipulatives when necessary.

    Closure (5 minutes): Ask students to share one thing they learned about division during the lesson. Review key concepts and remind students that division is a mathematical operation used to find the number of times one number is contained in another, and that remainders can also be a part of the solution.

    Assessment: Observe students during independent practice and provide feedback on their understanding of division. Collect and grade their worksheets to check their understanding.

    Note: The lesson could be adapted to include the relationship between division and multiplication, and how we can use one operation to find the solution to the other.

    Lesson Plan for Teachers on Understanding Units of Measurement

    Lesson Title:Understanding Units of Measurement

    Grade Level: 6th

    Duration: 45 minutes

    Lesson Objectives:

    1. Students will be able to identify and convert between different units of measurement, such as inches, feet, and yards.
    2. Students will be able to use a ruler or tape measure to accurately measure length.
    3. Students will be able to solve word problems involving units of measurement.

    Materials:

  • Rulers or tape measures for each student
  • Word problems worksheet (attached)
  • Chart of common units of measurement (attached)

    • Introduction (5 minutes):

    Begin the lesson by asking the students if they have ever measured something before. Ask them what tools they have used to measure and what units of measurement they have used. Write their responses on the board.

    Direct Instruction (15 minutes):

    Explain to the students that there are many different units of measurement that we use in everyday life. Show the chart of common units of measurement and go over the different units and what they are used to measure (length, weight, volume, etc.). Next, demonstrate how to use a ruler or tape measure to measure length. Show the students how to read the measurements on the ruler and explain the difference between inches, feet, and yards.

    Guided Practice (15 minutes):

    Pass out the rulers or tape measures to each student and have them practice measuring different objects in the classroom. As they measure, have them record their measurements on a sheet of paper. After students have had a chance to practice measuring, give them a word problems worksheet to work on. These problems will involve using units of measurement to solve real-world problems. Walk around and help students as needed.

    Independent Practice (10 minutes):

    Give students time to finish the worksheet on their own. Collect the worksheets and use them to assess student understanding.

    Closure (5 minutes):

    Review the main points of the lesson with the students. Ask them to share something they learned during the lesson. Remind them that understanding units of measurement is an important skill that they will use throughout their lives.

    Assessment:

  • Observation of students using rulers or tape measures
  • Completed word problem worksheet
  • Class discussion and participation in class activities

    • Note: The above is a basic lesson plan, you can add more interactive activities and games to make the learning more fun and engaging for the students.

    Math lesson Plan on Understanding Exponents Printable PDF

    Lesson Title: Understanding Exponents

    Lesson Objective: Students will be able to understand and use exponents in mathematical operations.

    Materials: Whiteboard, dry erase markers, worksheets with exponent problems

    Introduction (5 minutes): Start the lesson by asking students if they know what an exponent is. Write the symbol “^” on the whiteboard and ask students to provide examples of what an exponent might be (e.g. 2^3, 5^2, etc.).

    Direct Instruction (20 minutes): Explain to students that an exponent is a mathematical operation that represents the number of times a number is multiplied by itself. Write the equation “2^3” on the board and ask students what the answer is. (Answer: 8)

    Next, explain the concept of a base number, which is the number being multiplied by itself, and the exponent, which is the number of times the base number is multiplied by itself. For example, in the equation “2^3”, 2 is the base number and 3 is the exponent.

    Guided Practice (25 minutes): Provide students with worksheets containing exponent problems. Have students work in pairs to solve the problems, and circulate around the room to provide assistance as needed.

    Independent Practice (15 minutes): Give students additional problems to work on independently. Encourage them to use the skills they have learned to solve the problems.

    Closure (5 minutes): Ask students to share one thing they learned about exponents during the lesson. Review key concepts and remind students that exponents are a mathematical operation that represents the number of times a number is multiplied by itself.

    Assessment: Observe students during independent practice and provide feedback on their understanding of exponents. Collect and grade their worksheets to check their understanding.

    Note: The lesson could be adapted to include the relationship between exponents and multiplication, and how we can use one operation to find the solution to the other. Also, the concept of zero and negative exponents can be introduced as well.

    Lesson Plan on Understanding Number Theory

    Lesson Title:Understanding Number Theory

    Lesson Objective: Students will be able to understand and use concepts of number theory in mathematical operations.

    Materials: Whiteboard, dry erase markers, worksheets with number theory problems, manipulatives (e.g. base ten blocks, Cuisenaire rods)

    Introduction (5 minutes): Start the lesson by asking students if they know what number theory is. Write the phrase “number theory” on the whiteboard and ask students to provide examples of what number theory might include (e.g. prime numbers, greatest common divisors, etc.).

    Direct Instruction (20 minutes): Explain to students that number theory is a branch of mathematics that deals with the properties and relationships of numbers. Introduce the concept of prime numbers and composite numbers, and show students how to determine if a number is prime or composite using manipulatives or base ten blocks.

    Next, explain the concept of the greatest common divisor (GCD) and least common multiple (LCM) of two or more numbers, and show students how to find the GCD and LCM using manipulatives or base ten blocks.

    Guided Practice (25 minutes): Provide students with worksheets containing number theory problems, including prime/composite identification and finding GCD/LCM. Have students work in pairs to solve the problems, and circulate around the room to provide assistance as needed.

    Independent Practice (15 minutes): Give students additional problems to work on independently. Encourage them to use the skills they have learned to solve the problems and use the manipulatives when necessary.

    Closure (5 minutes): Ask students to share one thing they learned about number theory during the lesson. Review key concepts and remind students that number theory is a branch of mathematics that deals with the properties

    Printable Lesson Plan on Adding and Subtracting Decimals

    Lesson Title:Adding and Subtracting Decimals

    Lesson Objective: Students will be able to add and subtract decimals with accuracy and understanding.

    Materials: Whiteboard, markers, worksheets, calculator (optional)

    Introduction (5 minutes):

  • Begin by reviewing the concept of decimals and their place value.
  • Use the whiteboard to demonstrate how decimals are used in everyday life, such as measuring and shopping.
  • Ask students to give examples of when they have used decimals in their own lives.

    • Direct Instruction (15 minutes):

  • Explain the process of adding and subtracting decimals, using the whiteboard to demonstrate with examples.
  • Show students how to line up the decimal points when adding or subtracting.
  • Emphasize the importance of being precise and paying attention to place value when working with decimals.

    • Guided Practice (20 minutes):

  • Provide students with worksheets with problems for them to practice adding and subtracting decimals.
  • Circulate the room to assist students as needed.
  • Encourage students to check their work and use a calculator if needed.

    • Independent Practice (20 minutes):

  • Provide students with more worksheets for them to complete independently.
  • Monitor student progress and offer assistance as needed.
  • Encourage students to correct any mistakes they find and ask questions if they are unsure.

    • Closure (5 minutes):

  • Review the main concepts covered in the lesson.
  • Ask students to share one thing they learned or struggled with during the lesson.
  • Assign homework related to adding and subtracting decimals.

    • Assessment:

  • Observe students during independent practice to assess understanding and accuracy.
  • Collect and grade homework as a formative assessment.
  • Administer a quiz or a test as a summative assessment

    • Note: Adjust the time and activities as per the class size and student’s pace.